# Jerusalem Mathematics Colloquium

Thursday, 21 January 1999, 4:00 pm

Mathematics Bldg., lecture hall 2

##
Prof. Jonathan Beck (Chicago and Bar-Ilan)

"Quantum groups, quivers, and representations"

** Abstract: **

Quantum groups, introduced by physicists to model observables for the
quantum scattering problem, have a variety of mathematical
applications. Among these, the best known examples are to link
invariants and to the representation theory of semisimple Lie groups
and Lie algebras.

In this lecture I trace one such development due to G. Lusztig---the
introduction of a basis for the universal enveloping algebra of a
Borel subalgebra U(b), which when projected to finite dimensional
quotient modules remains a basis.

As time permits, I will discuss the extension of the theory to affine
Lie algebras and the important connection to the combinatorics of
symmetric functions.

Coffee, Cookies at the faculty lounge at 3:30.

You are invited to join the speaker for further discussion after the
talk at Beit Belgia.

List of talks, 1998-99

List of talks, 1997-98